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The rotation curves of low surface brightness galaxies provide a unique data set with which to test alternative theories of gravitation over a large dynamic range in size, mass, surface density, and acceleration. Many clearly fail,…

Astrophysics · Physics 2015-06-24 Stacy McGaugh , Erwin de Blok

Strong gravitational lensing by galaxies in MOdified Newtonian Dynamics (MOND) has until now been restricted to spherically symmetric models. These models were able to account for the size of the Einstein ring of observed lenses, but were…

Astrophysics · Physics 2009-06-23 HuanYuan Shan , Martin Feix , Benoit Famaey , HongSheng Zhao

The MOND limit is shown to follow from a requirement of space-time scale invariance of the equations of motion for nonrelativistic, purely gravitational systems; i.e., invariance of the equations of motion under (t,r) goes to (qt,qr), in…

Astrophysics · Physics 2010-05-05 Mordehai Milgrom

In recent work we proposed a novel theory of dark matter (DM) superfluidity that matches the successes of the LambdaCDM model on cosmological scales while simultaneously reproducing MOdified Newtonian Dynamics (MOND) phenomenology on…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-01 Justin Khoury

The stability of radially anisotropic spherical stellar systems in modified Newtonian dynamics (MOND) is explored by means of numerical simulations performed with the N-body code N-MODY. We find that Osipkov-Merritt MOND models require for…

Astrophysics of Galaxies · Physics 2015-05-27 Carlo Nipoti , Luca Ciotti , Pasquale Londrillo

We describe some results obtained with N-MODY, a code for N-body simulations of collisionless stellar systems in modified Newtonian dynamics (MOND). We found that a few fundamental dynamical processes are profoundly different in MOND and in…

Astrophysics · Physics 2015-05-13 Carlo Nipoti , Pasquale Londrillo , Luca Ciotti

We highlight phenomenological aspects of Verlinde's recent proposal to account for the mass anomalies in galactic systems without dark matter -- in particular in their relation to MOND. Welcome addition to the MOND lore as it is, this…

Astrophysics of Galaxies · Physics 2017-01-18 Mordehai Milgrom , Robert H. Sanders

The contemporary cosmic expansion is considered in the context of Modified Friedmann Dynamics (MOFD). We discuss some relativistic model exploring analogy to MOND modification of Newtonian dynamics. We argue that MOFD cosmologies can…

Astrophysics · Physics 2007-12-28 M. Szydlowski , W. Godlowski , J. Golbiak

Gravitational lensing is most often used as a tool to investigate the distribution of (dark) matter in the universe, but, if the mass distribution is known a priori, it becomes, at least in principle, a powerful probe of gravity itself.…

Astrophysics · Physics 2009-11-06 Daniel J. Mortlock , Edwin L. Turner

A new class of modified gravity theories, made possible by subtle features of the canonical formulation of general covariance, naturally allows MOND-like behavior (MOdified Newtonian Dynamics) in effective space-time solutions without…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Martin Bojowald , Erick I. Duque

We show that Modified Newtonian Dynamics (MOND) predict distinct galactic acceleration curve geometries in $g2$-space - the space of total observed centripetal accelerations $g_{\rm tot}$ vs the inferred Newtonian acceleration from baryonic…

Astrophysics of Galaxies · Physics 2021-12-11 Mikkel H. Eriksen , Mads T. Frandsen , Mogens H. From

The proximity of the MOND acceleration constant with cosmological accelerations -- for example, a0 cH0/2pi -- points to its possibly decreasing with cosmic time. I begin to consider the secular changes induced in galactic systems by such…

Astrophysics of Galaxies · Physics 2015-02-19 Mordehai Milgrom

We demonstrate how to construct purely metric modifications of gravity which agree with general relativity in the weak field regime appropriate to the solar system, but which possess an ultra-weak field regime when the gravitational…

General Relativity and Quantum Cosmology · Physics 2011-12-30 Cedric Deffayet , Gilles Esposito-Farese , Richard P. Woodard

A direct dynamical test of the sunspot-cycle is carried out which indicates that a stochastically forced non-linear oscillator characterizes its dynamics. The sunspot series is then decomposed into its eigen time-delay coordinates. The…

Solar and Stellar Astrophysics · Physics 2024-06-12 Sumit Vashishtha , Katepalli R Sreenivasan

We extend the MOND analysis to a sample of 17 high surface brightness, early-type disc galaxies with rotation curves derived from a combination of 21cm HI line observations and optical spectroscopic data. A number of these galaxies have…

Astrophysics · Physics 2008-11-26 R. H. Sanders , E. Noordermeer

I review the history and development of Modified Newtonian Dynamics (MOND) beginning with the phenomenological basis as it existed in the early 1980s. I consider Milgrom's papers of 1983 introducing the idea and its consequences for…

History and Philosophy of Physics · Physics 2014-07-30 R. H. Sanders

Multifield models with a curved field space have already been shown to be able to provide viable quintessence models for steep potentials that satisfy swampland bounds. The simplest dynamical systems of this type are obtained by coupling…

High Energy Physics - Theory · Physics 2020-10-28 Michele Cicoli , Giuseppe Dibitetto , Francisco G. Pedro

From a study of conserved quantities of the so-called Modified Newtonian Dynamics (MOND) we propose an alternative to this theory. We show that this proposal is consistent with the Tully-Fisher law, has conserved quantities whose Newtonian…

Astrophysics · Physics 2007-05-23 Juan M. Romero , Adolfo Zamora

The widely accepted dark matter hypothesis offers a seductive solution to missing mass problems (galaxies, clusters of galaxies, gravitational collapse in structure formation,...). However the physical nature of the Dark Matter itself is…

Astrophysics · Physics 2007-05-23 Etienne Pointecouteau

I briefly highlight the salient properties of modified-inertia formulations of MOND, contrasting them with those of modified-gravity formulations, which describe practically all theories propounded to date. Future data (e.g. the…

Astrophysics · Physics 2009-11-11 Mordehai Milgrom
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